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Finding the Fourth Proportional to 3,960.07, 5,938.23 and 2,317.12

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Solution

The fourth proportional to 3,960.07, 5,938.23 and 2,317.12 is: 3,474.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.07 : 5,938.23 = 2,317.12 : x
  2. Step 2: Convert to fraction form
    3,960.07/5,938.23 = 2,317.12/x
  3. Step 3: Cross multiply
    3,960.07x = 5,938.23 × 2,317.12
  4. Step 4: Simplify right side
    3,960.07x = 13,759,591.50
  5. Step 5: Solve for x
    x = 13,759,591.50/3,960.07
  6. Step 6: Final answer
    x = 3,474.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.